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What is the Least Common Multiple of 10152 and 10156?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 10152 and 10156 is 25775928.

LCM(10152,10156) = 25775928

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Least Common Multiple of 10152 and 10156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10152 and 10156, than apply into the LCM equation.

GCF(10152,10156) = 4
LCM(10152,10156) = ( 10152 × 10156) / 4
LCM(10152,10156) = 103103712 / 4
LCM(10152,10156) = 25775928

Least Common Multiple (LCM) of 10152 and 10156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10152 and 10156. First we will calculate the prime factors of 10152 and 10156.

Prime Factorization of 10152

Prime factors of 10152 are 2, 3, 47. Prime factorization of 10152 in exponential form is:

10152 = 23 × 33 × 471

Prime Factorization of 10156

Prime factors of 10156 are 2, 2539. Prime factorization of 10156 in exponential form is:

10156 = 22 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 10152 and 10156.

LCM(10152,10156) = 23 × 33 × 471 × 25391
LCM(10152,10156) = 25775928